6. D modeling#

6.1. Characteristics of modeling#

3D_SI modeling.

6.2. Characteristics of the mesh#

Number of knots: 20.

Number and types of meshes: 1 HEXA20, 6 QUAD8, 6, 12 SEG3.

6.3. Tested sizes and results#

The problem considered here is homogeneous and identical to problem \(A\) (modeling \(A\)). The constraints (or the internal variables) are therefore identical at the various gauss points.

The following values are recovered at time 0.5 and 0.7: the component \({\mathrm{\sigma }}_{\mathit{yy}}\) of the stress tensor (“SIEF_ELGA”, “SIYY”), the work-hardening variable \(\mathrm{\kappa }\) (“VARI_ELGA”, “V1”) and the porosity \(f\) (“VARI_ELGA”, “V2”) and the porosity (“”, “V2”).

The following table summarizes the values obtained by the Z-set finite element calculation software.

INST

Identification

Reference Value

Type

Tolerance

0.5

SIYY

551.8862

SOURCE EXTERNE

RELATIF — 1%

0.7

SIYY

267.7706

SOURCE EXTERNE

RELATIF — 1%

0.5

V1

1.542931

SOURCE EXTERNE

RELATIF — 1%

0.7

V1

1.714632

SOURCE EXTERNE

RELATIF — 1%

0.5

V2

0.09350500

SOURCE EXTERNE

RELATIF — 1%

0.7

V2

0.1735777

SOURCE EXTERNE

RELATIF — 1%